Congruent Triangles

Front

What are congruent triangles?

Back

Triangles that have the same size and shape, meaning their corresponding sides and angles are equal.

Front

What does SAS stand for in triangle congruence?

Back

Side-Angle-Side: A method to prove triangles are congruent if two sides and the included angle of one triangle are equal to the corresponding parts of another triangle.

Front

What does SSS stand for in triangle congruence?

Back

Side-Side-Side: A method to prove triangles are congruent if all three sides of one triangle are equal to the three sides of another triangle.

Front

What does ASA stand for in triangle congruence?

Back

Angle-Side-Angle: A method to prove triangles are congruent if two angles and the included side of one triangle are equal to the corresponding parts of another triangle.

Front

What does AAS stand for in triangle congruence?

Back

Angle-Angle-Side: A method to prove triangles are congruent if two angles and a non-included side of one triangle are equal to the corresponding parts of another triangle.

Front

Can two triangles be congruent if they have two sides and a non-included angle equal?

Back

No, this is known as SSA (Side-Side-Angle) and does not guarantee congruence.

Front

If ∠A ≅ ∠D, what can we say about triangles that include these angles?

Back

If the triangles also have the same corresponding sides, they can be proven congruent.

Front

What is the significance of corresponding parts in congruent triangles?

Back

Corresponding parts of congruent triangles are equal, which means their sides and angles match.

Front

How can you determine if two triangles are congruent using the SSS method?

Back

Measure all three sides of both triangles; if all three pairs of sides are equal, the triangles are congruent.

Front

What is the difference between ASA and AAS?

Back

ASA requires the included side between two angles to be equal, while AAS does not require the side to be included between the two angles.